Theorems · Theorem · group theory
Equiv.Perm.eq_sign_of_surjective_hom
∀ {α : Type u} [inst : DecidableEq α] [inst_1 : Fintype α] {s : Equiv.Perm α →* ℤˣ},
Function.Surjective ⇑s → s = Equiv.Perm.sign- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- MonoidHomstatement and proof · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- Equiv.Permstatement and proof · cited by 1,375
- one_powproof · cited by 521
- Equiv.swapproof · cited by 197
- Equiv.Perm.signstatement and proof · cited by 138
- MonoidHom.extproof · cited by 109
- IsConjproof · cited by 43
- by_contradictionproof · cited by 42
- Equiv.Perm.IsSwapproof · cited by 35
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